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Finding the Third Proportional to 459,482 and 671,401

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Solution

The third proportional to 459,482 and 671,401 is: 981,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,482 : 671,401 = 671,401 : x
  2. Step 2: Convert to fraction form
    459,482/671,401 = 671,401/x
  3. Step 3: Cross multiply
    459,482x = 671,401 × 671,401
  4. Step 4: Simplify right side
    459,482x = 450,779,302,801
  5. Step 5: Solve for x
    x = 450,779,302,801/459,482
  6. Step 6: Final answer
    x = 981,059.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.